L-fuzzy gradation of openness

This purpose of this book is to study stratified L-grill structure supra (LM)-closure operator initial (LM)-closure operator lattice valued double syntopogenous structures stratified double L-topological structures and double LC-uniform space; covering approach where L M are strictly two sided commutative quantale lattices. We presented notions and several results such as the relationships among them continuity of mappings products and some fundamental properties are established.